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253709329 = 1812296121
BaseRepresentation
bin11110001111101…
…00110000010001
3122200101202202211
433013310300101
51004422144304
641101512121
76200331226
oct1707646021
9580352684
10253709329
11120237635
1270b72641
1340740b83
14259a394d
1517418204
hexf1f4c11

253709329 has 8 divisors (see below), whose sum is σ = 256266920. Its totient is φ = 251164800.

The previous prime is 253709327. The next prime is 253709347. The reversal of 253709329 is 923907352.

It is a happy number.

253709329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2169729 + 251539600 = 1473^2 + 15860^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 253709329 - 21 = 253709327 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 253709291 and 253709300.

It is not an unprimeable number, because it can be changed into a prime (253709321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38389 + ... + 44509.

It is an arithmetic number, because the mean of its divisors is an integer number (32033365).

Almost surely, 2253709329 is an apocalyptic number.

It is an amenable number.

253709329 is a deficient number, since it is larger than the sum of its proper divisors (2557591).

253709329 is a wasteful number, since it uses less digits than its factorization.

253709329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531.

The product of its (nonzero) digits is 102060, while the sum is 40.

The square root of 253709329 is about 15928.2556797661. The cubic root of 253709329 is about 633.0608825970.

The spelling of 253709329 in words is "two hundred fifty-three million, seven hundred nine thousand, three hundred twenty-nine".

Divisors: 1 181 229 6121 41449 1107901 1401709 253709329